GCF of 440/805, 3795/977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 440/805, 3795/977 i.e 55/786485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/805, 3795/977.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 440/805,3795/977?
Given fractions are 440/805,3795/977
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 440/805,3795/977, numerators are 440,3795
Denominators are 805,977
The GCF of 440,3795 is 55 .
LCM of 805,977 is 786485.
The greatest common factor of 440/805,3795/977 = [GCF of 440,3795]/[LCM of 805,977]= 55/786485
Therefore, the GCF of 440/805,3795/977 is 55/786485.
To find the highest common factor of 440,3795, we have to find the factors of both numbers and list the highest common factor.
The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
The factors of 3795 are 1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 759, 1265, 3795
The HCF of 440,3795 is 55.
Lets's calculate GCF of 440,3795
| 5 | 440, 3795 |
| 11 | 88, 759 |
| 8, 69 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Greatest Common Factor of 440,3795 By Matching Biggest Common Factor Method
Now, list down the factors of 440
:1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Now, list down the factors of 3795
:1,3,5,11,15,23,33,55,69,115,165,253,345,759,1265,3795
Greatest Common Factor
We found the factors 440,3795 . The biggest common factor number is the GCF number.
So the greatest common factor 440,3795 is 55.
Lets's calculate LCM of 805,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 786485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/786485
Therefore, the GCF of Fractions 440/805,3795/977 is 55/786485
Least Common Multiple of 805,977 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 805,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(805,977) x common factors =1 x 1 = 1
LCM(805,977) = ( 805 × 977 ) / 1
LCM(805,977) = 786485 / 1
LCM(805,977) = 786485
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 440/805, 3795/977
1. What is the HCF of 440,3795?
The HCF of 440,3795 is 55
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 440/805, 3795/977?
Answer: GCF of Numerators as per given numbers 440/805, 3795/977 is
GCF of Numerators i.e. for 440,3795 is 55
LCM of denominators i.e. for 805,977 is 786485.
Thus, GCF of Fractions is 55/786485.Finally, GCF of Fractions for 440/805, 3795/977 is 55/786485.